Exam 2: Linear Equations

Solve the problem. -A quality-control inspector examined 290 calculators and found 15 of them to be defective. At this rate, how many defective calculators will there be in a batch of 15,370 calculators?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle if its supplement measures 265° less than 6 times its complement.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by 100 and where the solution isnʹt an integer.

Determine whether the given value is a solution of the equation. -y = 4

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a linear equation that can be solved using the multiplication property of equality and that has $x = \frac { 2 } { 9 }$

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle such that the sum of the measures of its complement and its supplement is 174°.

Solve the problem. - $\text { If } b < 0 \text {, is it true that } b ^ { 2 } > b \text { ? Explain. }$

Solve the problem. -Roberto invested some money at 6%, and then invested $2000 more than twice this amount at 10%. His total annual income from the two investments was $3840. How much was invested at 10%?

Solve the problem. -The three-part inequality $\mathrm { a } < \mathrm { x } \leq \mathrm { b }$ means " $\mathrm { a }$ is less than $\mathrm { x }$ and $\mathrm { x }$ is less than or equal to $\mathrm { b }$ ". Which of these inequalities has no solution? (a) $- 5 < x \leq - 11$ (b) $- 8 < x \leq - 7$ (c) $0 < x \leq 4$ (d) $- 2 < x \leq 6$

Solve the problem. -A car traveling 69 miles per hour passes a bus traveling 61 in the same direction on the highway. If they maintain their speeds, how long will it take them to be 20 miles apart?

Solve the problem. -To convert a Celsius temperature to a Fahrenheit temperature, we multiply the Celsius temperature by $\frac { 9 } { 5 }$ and add 32 to the result. When the temperature is $90 ^ { \circ } \mathrm { C }$ , what is the temperature in degrees Fahrenheit?

Solve the problem. -Kevin invested money in a savings account at a rate of 5% simple interest. After one year, he has $4935.00 in the account. How much did Kevin originally invest?

Determine whether the given equation is linear. - $0 = - 9 x ^ { 3 } - 6 x + 20$

Determine whether the given value is a solution of the equation. -m = 4

Solve the problem. -A survey showed that students had these preferences for instructional materials. Use the graph to answer the question. About how many students would you expect to prefer computers in a school of 550 students? A) About 110 students B) About 198 students C) About 99 students D) About 36 students

Determine whether the given value is a solution of the equation. -p = 7

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -DGʹs Plumbing and Heating charges $50 plus $60 per hour for emergency service. Bill remembers being billed just over $200 for an emergency call. How long to the nearest hour was the plumber at Billʹs house?

Solve the problem. -A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joeʹs phone bill was $63 under this promotional deal, how many minutes of phone Calls did he make? Round to the nearest integer, if necessary.

Solve the problem. -78.0 is what percent of 8? Round to the nearest tenth of a percent.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The perimeter of a rectangular room is 196 feet. Find the length and width of the room if the length is 8 feet longer than twice the width.